What is the Greatest Common Factor of 39488 and 39492?

Greatest common factor (GCF) of 39488 and 39492 is 4.

GCF(39488,39492) = 4

We will now calculate the prime factors of 39488 and 39492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39488 and 39492.

How to find the GCF of 39488 and 39492?

We will first find the prime factorization of 39488 and 39492. After we will calculate the factors of 39488 and 39492 and find the biggest common factor number .

Step-1: Prime Factorization of 39488

Prime factors of 39488 are 2, 617. Prime factorization of 39488 in exponential form is:

39488 = 2⁶ × 617¹

Step-2: Prime Factorization of 39492

Prime factors of 39492 are 2, 3, 1097. Prime factorization of 39492 in exponential form is:

39492 = 2² × 3² × 1097¹

Step-3: Factors of 39488

List of positive integer factors of 39488 that divides 39488 without a remainder.

1, 2, 4, 8, 16, 32, 64, 617, 1234, 2468, 4936, 9872, 19744

Step-4: Factors of 39492

List of positive integer factors of 39492 that divides 39488 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1097, 2194, 3291, 4388, 6582, 9873, 13164, 19746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39488 and 39492. The biggest common factor number is the GCF number.
So the greatest common factor 39488 and 39492 is 4.

Also check out the Least Common Multiple of 39488 and 39492